The negation of the compound proposition $p \vee (\sim p \vee q)$ is

Which of the following is an open statement

Let,$p$ : Ramesh listens to music.

$q :$ Ramesh is out of his village

$r :$ It is Sunday

$s :$ It is Saturday

Then the statement "Ramesh listens to music only if he is in his village and it is Sunday or Saturday"can be expressed as.

If $\mathrm{p} \rightarrow(\mathrm{p} \wedge-\mathrm{q})$ is false, then the truth values of $p$ and $q$ are respectively

If $p, q, r$ are simple propositions with truth values $T, F, T$, then the truth value of $(\sim p \vee q)\; \wedge \sim r \Rightarrow p$ is

Which of the following is the negation of the statement "for all $M\,>\,0$, there exists $x \in S$ such that $\mathrm{x} \geq \mathrm{M}^{\prime \prime} ?$